Advantage Pac Matrix manipulaltions (simple version)

The Advantage Pac has quite extensive Matrix handling functions, mostly beyond anything I ever would need….

The simple MATRX program allows the entry of a square matrix (real or complex), and can calculate the INVERSE and DETERMINANT of it.

The square matrix entered can be the coefficients of a set of simultaneous equations, and entering a second matrix allows the system to be solved.

| 2  -3 |
| -4  8 |

Run the MATRX program ( XEQ ALPHA MATRX ALPHA)

Options presented :

RL  CX

Press RL Alt</key> Option presented : ORDER=? 2</key>R/S</key> Options presented: A I DT B SE Alt</key> Enter the Matrix elements 2 R/S 3 CHS R/S 4 CHS R/S 8 R/S Options presented : A I DT B SE If Alt is part of a system of equations, for example 2x - 3y = 6 -4x + 8y = -2 Then enter matrix B | 6 | |-2 | B</key> 6 R/S 2 CHS R/S Solve the System of Equations with SE SE</key> Result is now in B B</key> 1:1 = 10.5 R/S 2:1 = 5 R/S This means if 2x - 3y = 6 -4x + 8y = -2 Then X = 10.5 and y = 5 Check (2 * 10.5) - (3*5) = 6 -(4 * 10.5) + (8 * 5) = -2 CORRECT! Alt now holds the LU+Decomposition version of the original Alt To restore the contents of Alt to normal simply INVERT Alt twice I</key> I</key> Check Alt Alt</key> 1:1 = 2.00 1:2 = -3.00 2:1 = -4.00 2:2 = 8.00 Find the Determinant of Alt DT</key> DET = 4.00 That's pretty much all for MATRX with a real matrix. === Complex Matrix === You can chose CX'' at the beginning, and enter theRealAndImaginaryParts of each Matrix element if you are dealing with a complex matrix. <TODO>— John Pumford-Green 05/08/22 11:55===== Further Information =====